>English exams test your ability to comprehend a text and/or to write a good quality essay
>Math exams test your ability to solve problems and find unique ways to find the answer
>In both of these exams very little has to be memorized, but your intuition and ability in that subject is being tested
(most math tests I had, have had a formula sheet)

Well yeah when your doing a test during the course its like that. But on your finals you can solve it however you want to. What my point is that in math you are not supposed to memorize the formula or a way how to solve a problem, but to understand it.